19406350080 has 432 divisors, whose sum is σ = 73081715616. Its totient is φ = 4725964800.

The previous prime is 19406350001. The next prime is 19406350111. The reversal of 19406350080 is 8005360491.

19406350080 is a `hidden beast` number, since 1 + 94 + 0 + 63 + 500 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15125119 + ... + 15126401.

It is an arithmetic number, because the mean of its divisors is an integer number (169170638).

Almost surely, 2^19406350080 is an apocalyptic number.

19406350080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19406350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36540857808).

19406350080 is an abundant number, since it is smaller than the sum of its proper divisors (53675365536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19406350080 is a wasteful number, since it uses less digits than its factorization.

19406350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19406350080 in words is "nineteen billion, four hundred six million, three hundred fifty thousand, eighty".